A calculator uses 14 bit binary numbers with one bit for the sign of the number, followed by 8 bits for mantissa, followed by 5 bits for the characteristic. How does this calculator represent 0.0016756057739258 ? ? O ? O ? O ? ? ? ? ? ?

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question
**Understanding 14-bit Binary Representation in Calculators**

In this educational section, we explore how a specific calculator uses a 14-bit binary number to represent decimals. The structure is as follows:

- **1 bit** for the sign of the number: This bit determines whether the number is positive or negative.
- **8 bits** for the mantissa: These bits represent the significant digits of the number.
- **5 bits** for the characteristic (exponent): This portion aligns the decimal point.

### Example: Representing 0.0016756057739258

To represent the decimal number 0.0016756057739258, the calculator utilizes the binary format described above. Although the exact binary conversion isn't shown in this image, understanding the bit allocation helps conceptualize how floating-point binary representation functions.

### Diagram Explanation

The diagram consists of 14 binary slots divided by two distinct pipes:

- The first section, consisting of one slot, is for the sign bit.
- The next section has eight slots for the mantissa.
- The final section includes five slots for the characteristic.

This setup visually demonstrates where each part of the binary number resides in the 14-bit structure.
Transcribed Image Text:**Understanding 14-bit Binary Representation in Calculators** In this educational section, we explore how a specific calculator uses a 14-bit binary number to represent decimals. The structure is as follows: - **1 bit** for the sign of the number: This bit determines whether the number is positive or negative. - **8 bits** for the mantissa: These bits represent the significant digits of the number. - **5 bits** for the characteristic (exponent): This portion aligns the decimal point. ### Example: Representing 0.0016756057739258 To represent the decimal number 0.0016756057739258, the calculator utilizes the binary format described above. Although the exact binary conversion isn't shown in this image, understanding the bit allocation helps conceptualize how floating-point binary representation functions. ### Diagram Explanation The diagram consists of 14 binary slots divided by two distinct pipes: - The first section, consisting of one slot, is for the sign bit. - The next section has eight slots for the mantissa. - The final section includes five slots for the characteristic. This setup visually demonstrates where each part of the binary number resides in the 14-bit structure.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY